Housing priced at$100,000 in 1978→$409,246.13 in 2018

Historical Price Inflation for Housing

Prices for Housing, 1978-2018 ($100,000)

According to the U.S. Bureau of Labor Statistics, prices for housing were
309.25% higher
in 2018 versus 1978.

Between 1978 and 2018:Housing experienced an average inflation rate of 3.59% per year.
This rate of change indicates significant inflation.
In other words, housing costing $100,000 in the year 1978 would cost $409,246.13 in 2018 for an equivalent purchase.
Compared to the overall inflation rate of 3.40% during this same period, inflation for housing was
similar.

In the year 1978: Pricing changed by 8.75%,
significantly above the average yearly
change for housing during the 1978-2018 time period.
Compared to inflation for all items in 1978 (7.63%), price inflation for housing was
higher.

Price Inflation for Housing since 1967

Consumer Price Index, U.S. Bureau of Labor Statistics

Years with the largest changes in pricing:
1980 (15.69%),
1979 (12.20%),
and 1981 (11.51%).

Raw Consumer Price Index data from U.S. Bureau of Labor Statistics for Housing:

How to calculate the inflation rate for housing, 1978-2018

Then plug in historical CPI values from above. The CPI for Housing was 62.433 in the year 1978 and 255.506 in 2018:

255.506 / 62.433* $100,000 = $409,246.13

Therefore, according to U.S. Bureau of Labor Statistics, $100,000 in 1978 has the same "purchasing power" as $409,246.13 in 2018 (in the category of Housing).

Source: U.S. Bureau of Labor Statistics began tracking the Consumer Price Index for Housing in 1967. In addition to housing, the index produces monthly data on changes in prices paid by urban consumers for a variety of other goods and services.